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Since the random variable is uniformly distributed with the interval, (-2,1), its pdf is given as,
Therefore, the probability density function for the random variable IS,
To determine the pdf of , we shall apply the cumulative density function (CDF) method as described below.
We determine the of ,
From definition of probability for continuous distributions,
To find the of the random variable , we differentiate with respect to . That is,
The limits are,
Therefore, the probability density function of the random variable is,